An oil (viscosity 1 Pa.s, density 800kg/m3) is flowing in an axisymmetric pipe. The flow is fully developed and laminar and the velocity at the centre of the pipe is = 30cm/s. The velocity cross-sectional profile is parabolic as:u(r) = U0(1- r2/R2). Here r is the distance of the point to the pipe centre where the velocity is u(r). . R is radius of pipe (R=4mm). Calculate:the shear stress at the pipe wallthe shear stress within the fluid 2 mm from the pipe wallthe Reynold’s number of the flow

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Answered: An oil (viscosity 1 Pa.s, density…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An oil (viscosity 1 Pa.s, density 800kg/m³) is flowing in an axisymmetric pipe. The flow is fully developed and laminar and the velocity at the centre of the pipe is = 30cm/s. The velocity cross-sectional profile is parabolic as:

u(r) = U₀(1- r²/R²)

. Here r is the distance of the point to the pipe centre where the velocity is u(r). . R is radius of pipe (R=4mm).

Calculate:

the shear stress at the pipe wall
the shear stress within the fluid 2 mm from the pipe wall
the Reynold’s number of the flow

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